Thank you guys for such quick and great response!
I found PTP on the camera menu and set to that (it was on Mass Storage Device). And photos came up straight away. I just did some transfering, it's fantastic!
Just something else:
Like you suspected, the kit may not have been firmly inserted; when I tried it very first time, it didn't seem to go in at all. Although I was scared to damage the slot, I tried harder. So then, after I took your advice how to transfer photos and I finished doing that, on the camera settings I changed it back to Mass Storage Device and connected back to iPad to see if anything happens. And the photos came up again. So, does it mean it didn't work before because the usb adapter (kit) was not firm enough? (Because I am going to use another, older sony photo camera to take pictures and I will want to transfer them to iPad. but I don't know if there is an option for PTP or MSD on the menu setting.)
Also, now I have another problem. I have an olympus digital dictaphone. I also tried to connect that to iPad via the kit so I could trasfer some audio files onto iPad. But nothing is coming up. And there is no real menu on this device, just folders. Is there anything I can do?
Really Big Thank You for your help! So happy I've achieved something! 😎